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Magnetic field distribution in models of trabecular bone
Author(s) -
Ford J. Chetley,
Wehrli Felix W.,
Chung HsiaoWen
Publication year - 1993
Publication title -
magnetic resonance in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.696
H-Index - 225
eISSN - 1522-2594
pISSN - 0740-3194
DOI - 10.1002/mrm.1910300316
Subject(s) - distribution (mathematics) , field (mathematics) , trabecular bone , nuclear magnetic resonance , physics , medicine , mathematics , pathology , osteoporosis , mathematical analysis , pure mathematics
A magnetostatic model consisting of a tetragonal lattice of struts of diamagnetic material, mimicking vertebral trabecular bone, was developed. The model allows estimation of the magnetic field histogram within the lattice's unit cell as a function of geometric parameters. The field was computed analytically from the induced magnetic surface charge density on the faces of the struts. The contribution from the induced magnetic field to the effective transverse relaxation rate, R 2 was obtained as the mean decay rate of the Fourier transformed histograms, for both fixed and randomly oriented lattices. The model predicts the field distribution to increase with both strut thickness and density, paralleling material density. Finally, significant changes in R 2 ′ are predicted at constant material density, in that the field distribution widens with simultaneously increasing strut number density and decreasing strut thickness.